Universal bi-Hamiltonian hierarchies of group-invariant (multicomponent) soliton equations are derived from non-stretching geometric curve flows γ(t, x) in Riemannian symmetric spaces M = G/H, including compact semisimple Lie groups M = K for G = K×K, H = diag G. The derivation of these soliton hierarchies utilizes a moving parallel frame and connection 1-form along the curve flows, related to ...

Let a connected real Lie group G act on a C real manifold M , and assume that the action is both C and effective on every nonempty G-invariant open set. We show that there is a nonempty G-invariant open subset U of some higher order frame bundle of M such that, for all u P U , the stabilizer in G of u is a discrete, finitely generated, free Abelian, central subgroup of G.

Optimal locations of the actuators for frame active control are investigated in this article. The aim is to minimize the structural drifts by employing several actuators. By utilizing genetic algorithm, the appropriate locations of the actuators are determined. They should be placed in locations where they can minimize the maximum structural drift. To explore the capability of the proposed tech...

This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis. It is certainly possible for a continuous frame to have only one dual. Such a continuous frame is called a Riesz-type frame [13]. We show that a continuous frame is Riesz-type if and only if it is a con...

abstract three separate greenhouse experiments were conducted in the greenhouse facilities of the iranian plant protection research institute, tehran, to study the efficacy of some accase inhibiting herbicides for control of resistant based on mechanism, resistance based on enhanced metabolism and susceptible wild oat biotypes. in each experiment, biotypes were treated separately by 17 herbicid...

PVC frame cutting process by guillotine is a common method that attracted attention of car parts and PVC decorating furniture producers. In this paper, the effects of main parameters such as cutting speed, lubricants and cutting frame holder pressure force on PVC frame section surface smoothness is investigated by experimental methods on a specified PVC frame sample and then by FEM simulation u...

Consider the configuration space Q for some physical system, and a continuous group of transformations G whose action on the configurations is declared to be physically irrelevant. G is to be implemented indirectly by adjoining 1 auxiliary g per independent generator to Q, by writing the action for the system in an arbitrary G-frame, and then passing to the quotient Q/G thanks to the constraint...